Exhibit 99.906CERT

                            SECTION 906 CERTIFICATION

                Certification Pursuant to 18 U.S.C. Section 1350,
                             As Adopted Pursuant to
                  Section 906 of the Sarbanes-Oxley Act of 2002

Active Assets Government Securities Trust

     In connection with the Report on Form N-CSR (the "Report") of the
above-named issuer for the period ended June 30, 2005 that is accompanied by
this certification, the undersigned hereby certifies that:

1.   The Report fully complies with the requirements of Section 13(a) or 15(d)
     of the Securities Exchange Act of 1934; and

2.   The information contained in the Report fairly presents, in all material
     respects, the financial condition and results of operations of the Issuer.


Date: August 23, 2005                            /s/ Ronald E. Robison
                                                 ---------------------
                                                 Ronald E. Robison
                                                 Principal Executive Officer


A signed original of this written statement required by Section 906 has been
provided to Active Assets Government Securities Trust and will be retained by
Active Assets Government Securities Trust and furnished to the Securities and
Exchange Commission or its staff upon request.



                            SECTION 906 CERTIFICATION

                Certification Pursuant to 18 U.S.C. Section 1350,
                             As Adopted Pursuant to
                  Section 906 of the Sarbanes-Oxley Act of 2002

Active Assets Government Securities Trust

     In connection with the Report on Form N-CSR (the "Report") of the
above-named issuer for the period ended June 30, 2005 that is accompanied by
this certification, the undersigned hereby certifies that:

1.   The Report fully complies with the requirements of Section 13(a) or 15(d)
     of the Securities Exchange Act of 1934; and

2.   The information contained in the Report fairly presents, in all material
     respects, the financial condition and results of operations of the Issuer.


Date: August 23, 2005                         /s/ Francis Smith
                                              -----------------
                                              Francis Smith
                                              Principal Financial Officer


A signed original of this written statement required by Section 906 has been
provided to Active Assets Government Securities Trust and will be retained by
Active Assets Government Securities Trust and furnished to the Securities and
Exchange Commission or its staff upon request.